Effective elastic properties of composites of ellipsoids (I). Nearly   spherical inclusions

doi:10.1016/S0378-4371(98)00465-8

CORC > 北京大学 > 化学与分子工程学院

	Effective elastic properties of composites of ellipsoids (I). Nearly spherical inclusions
	Wei, GY ; Edwards, SF
刊名	physica a
	1999
关键词	auxetic composites auxeticity negative Poisson ratio effective elastic properties demagnetizing factors NEGATIVE POISSONS RATIOS MORI-TANAKA THEORY MODULI INHOMOGENEITIES MEDIA NETWORKS SPHERES BOUNDS RANGE
DOI	10.1016/S0378-4371(98)00465-8
英文摘要	Exact formulation for calculating effective elastic moduli of an isotropic two-phase disordered composite with ellipsoidal or elliptic inclusions are given in the mean-field approximation, which yields simple analytic expansions of effective Poisson ratio and Young's modulus to second order in the small asphericity parameters for nearly disc-like and spherical inclusions. Analytic expansions to fifth order in these parameters of the depolarizing or demagnetizing factors for nearly spherical ellipsoids have also been obtained, as have those to second order of the critical parameters of the auxeticity windows in the case of rigid auxetic inclusions randomly embedded in an incompressible matrix. For a matrix having a non-negative Poisson ratio, it is found that auxeticity windows for both inclusion volume or area fraction and the ratio of Young's modulus of inclusion to that of a matrix exist only for auxetic inclusions, and a maximum effective Young's modulus occurs at a certain value of volume fraction of auxetic inclusions that are not far from disc-like or spherical. This maximum Young's modulus effect may be exploited to produce technologically important high-strength auxetic composites. (C) 1999 Elsevier Science B.V. All rights reserved.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000078932500005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Physics, Multidisciplinary; SCI(E); 9; ARTICLE; 3-4; 388-403; 264
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/214591]
专题	化学与分子工程学院
推荐引用方式 GB/T 7714	Wei, GY,Edwards, SF. Effective elastic properties of composites of ellipsoids (I). Nearly spherical inclusions[J]. physica a,1999.
APA	Wei, GY,&Edwards, SF.(1999).Effective elastic properties of composites of ellipsoids (I). Nearly spherical inclusions.physica a.
MLA	Wei, GY,et al."Effective elastic properties of composites of ellipsoids (I). Nearly spherical inclusions".physica a (1999).